What is the Greatest Common Factor of 50289 and 50304?

Greatest common factor (GCF) of 50289 and 50304 is 3.

GCF(50289,50304) = 3

We will now calculate the prime factors of 50289 and 50304, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50289 and 50304.

How to find the GCF of 50289 and 50304?

We will first find the prime factorization of 50289 and 50304. After we will calculate the factors of 50289 and 50304 and find the biggest common factor number .

Step-1: Prime Factorization of 50289

Prime factors of 50289 are 3, 16763. Prime factorization of 50289 in exponential form is:

50289 = 3¹ × 16763¹

Step-2: Prime Factorization of 50304

Prime factors of 50304 are 2, 3, 131. Prime factorization of 50304 in exponential form is:

50304 = 2⁷ × 3¹ × 131¹

Step-3: Factors of 50289

List of positive integer factors of 50289 that divides 50289 without a remainder.

1, 3, 16763

Step-4: Factors of 50304

List of positive integer factors of 50304 that divides 50289 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 131, 192, 262, 384, 393, 524, 786, 1048, 1572, 2096, 3144, 4192, 6288, 8384, 12576, 16768, 25152

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50289 and 50304. The biggest common factor number is the GCF number.
So the greatest common factor 50289 and 50304 is 3.

Also check out the Least Common Multiple of 50289 and 50304